Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
The answer is D.
You multiply 1,250,000 by 1.50= 1,875,000
Then add 1,875,000 to 1,250,000= 3,125,000
Divide by 1,000,000 and you get 3.125
Answer:
The solution to the system of equations is (1.6,-2)
Step-by-step explanation:
You have to plug the x which is -2 into the equation.
You would get y=2/3(-2)+3
Then you would calculate that to get y=1.6
Lastly you combine the y answer to the x answer to get the coordinates (1.6,-2)
Answer:
a = 12.93
Step-by-step explanation:
Convert to decimal: 12 1/3 = 12.3
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
a = 12.93 (rounded to two decimal places)
